Neutron stars in close binaries with elliptical component orbits

We consider the evolution of close binaries in which the initial secondary component is a nondegenerate helium star with mass M-He = 0.4-60 M-., while the initially more massive primary has evolved into a black hole, neutron star, or degenerate dwarf. The neutron star is assumed to originate as a result of the evolution of a helium star with a mass of 2.5 M-. <= M-He <= 10 M-. after the explosion of a type lb,c supernova. If the axial rotation of the helium star before the explosion is rigid-body and synchronized with the orbital rotation, for P-orb <= 0.16 day, the rotational energy of the young neutron star will exceed the energy of an ordinary supernova. If the magnetic field of the neutron star is sufficiently strong, the necessary conditions for a magnetic-rotation a supernova are provided. The initial rotational period of a young neutron star originating in a system with an orbital period shorter than similar to 50 days is shorter than similar to 4 s, which, according to observations, is required for the appearance of a radio pulsar. A helium star whose mass exceeds similar to 10 M-. in a close binary with an orbital period shorter than one day and with the axial rotation of the helium presupernova synchronous with the orbital rotation evolves into a Kerr black hole, whose formation is likely to be accompanied by a gamma-ray burst with a duration longer than two seconds. In particular, we consider close binaries in which the second supernova results in the formation of a neutron star that remains in the binary. The theoretical distribution of orbital periods and eccentricities for such systems is consistent with that observed for radio pulsars in the Galactic disk in binaries with compact components and orbital eccentricities exceeding similar to 0.09, providing an explanation for the observed correlation between the orbital eccentricities and orbital periods for these systems. (C) 2005 Pleiades Publishing, Inc.